762 ENGINEERING THERMODYNAMICS
dharm
\M-therm\Th14-4.pm5
p (Pressure)
h (Enthalpy)
(^51315971790) kJ/kg
(^12) – 12°C
Evaporation
Condensation
- 27°C
21°C 27°C
4
Sub-cooling
in condenser
3
ThrottlingThrottling CompressionCompression
Constant
entropy line
Constant
entropy line
Fig. 14.36
(i)Condition of the vapour at the outlet of the compressor
= 58 – 27 = 31 °C superheat. (Ans.)
(ii)Condition of vapour at entrance to evaporator,
x 1 = 0.13. (Ans.)
(iii) C.O.P. =
hh
hh
21
32
1597 513
1790 1597
−
−
= −
− = 5.6. (Ans.)
(iv)Power required :
C.O.P. =
Net refrigerating effect
Work done
=R
W
n
5.6 =
10 5 14000
60
. ×
W×
∴ W =
10 5 14000
56 60
.
.
×
×
kJ/min = 437.5 kJ/min.
= 7.29 kJ/s.
i.e., Power required = 7.29 kW. (Ans.)
+Example 14.27. The evaporator and condenser temperatures of 20 tonnes capacity freezer
are – 28°C and 23°C respectively. The refrigerant – 22 is subcooled by 3°C before it enters the
expansion valve and is superheated to 8°C before leaving the evaporator. The compression is
isentropic. A six-cylinder single-acting compressor with stroke equal to bore running at 250 r.p.m.
is used. Determine :
(i)Refrigerating effect/kg.
(ii)Mass of refrigerant to be circulated per minute.
(iii)Theoretical piston displacement per minute.
(iv)Theoretical power.